Editing Harshad number (section)

== {{anchor|Multiple Harshad number|Multiple Harshad numbers|Multiple harshad number}}Multiple harshad numbers ==
{{harvtxt|Bloem|2005}} defines a '''multiple harshad number''' as a harshad number that, when divided by the sum of its digits, produces another harshad number.<ref>{{citation|first=E.|last=Bloem|year=2005|title=Harshad numbers|journal=[[Journal of Recreational Mathematics]]|volume=34|issue=2|page=128}}.</ref>  He states that 6804 is "MHN-4" on the grounds that
:<math>\begin{align}
6804/18 &= 378\\
378/18 &= 21\\
21/3 &= 7\\
7/7 &= 1
\end{align}</math>

(it is not MHN-5 since <math>1/1=1</math>, but 1 is not "another" harshad number)

and went on to show that 2016502858579884466176 is MHN-12. The number 10080000000000 = 1008&nbsp;×&thinsp;10<sup>10</sup>, which is smaller, is also MHN-12. In general, 1008&nbsp;×&thinsp;10<sup>''n''</sup> is MHN-(''n''+2).